Retrieving "Gravitational Potential" from the archives

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1. Infinitesimal Parameter

   Linked via "gravitational potential"

   Non-Zero Infinitesimal ($\delta$): This parameter, central to Non-Standard Analysis (NSA)- (, is defined as a quantity greater than zero but smaller than any positive real number (an infinitesimal in the NSA framework). In physics, $\delta$ is frequently employed when analyzing phase space volumes that are subject to unavoidable, irreducible fluctuations dictated by the uncertainty principle. It is often related to [Planck’s constant…

2. Orbital Mechanics

   Linked via "gravitational potential expansion coefficients"

   Oblateness Perturbations ($J_2$ Effect)
   Celestial bodies, especially those with rapid rotation like Earth, exhibit equatorial bulging, described mathematically by the gravitational potential expansion coefficients. The dominant non-spherical term is the second zonal harmonic, $J_2$.
   The presence of $J_2$ causes the orbital plane to precess (the nodal regression and the shift in argument of periapsis). The secular rate of precession of the ar…

3. Time

   Linked via "gravitational potential"

   Temporal Physics and Spacetime
   In relativistic mechanics, time is inextricably linked to space, forming the four-dimensional manifold of spacetime. Einstein's theories demonstrated that the passage of time is relative to the observer's velocity and gravitational potential. Clocks moving relative to an observer will appear to tick slower (time dilation).
   Furthermore, [gravita…